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Finding the Fourth Proportional to 413.63, 570.48 and 273.77

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Solution

The fourth proportional to 413.63, 570.48 and 273.77 is: 377.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.63 : 570.48 = 273.77 : x
  2. Step 2: Convert to fraction form
    413.63/570.48 = 273.77/x
  3. Step 3: Cross multiply
    413.63x = 570.48 × 273.77
  4. Step 4: Simplify right side
    413.63x = 156,180.31
  5. Step 5: Solve for x
    x = 156,180.31/413.63
  6. Step 6: Final answer
    x = 377.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.